Question

what it means to take square root of a negative number ? and what is the meaning of square root of a positive number ? please give some practical examples for both, like getting length from area of a square piece...

Answer 1

imaginary number\[\sqrt{-1}=i\]

Answer 2

Getting length from Area means??

Can you suggest any example to this..??

Answer 3

if you know the area of a square you can square root that value in order to get the length of a side

Answer 4

@waterineyes i have edited the question now. pls read now :P

Answer 5

We cannot take the square root of negative number..

See, there is a little bit difference..
If I say take the square root of 16

Then:

\[\sqrt{16} = \pm 4\]

Answer 6

square root of negative number is an imaginary number

Answer 7

See if I have an area of Square = 36,
Then we know:

\[Area = Side^2\]

Now I want to side so I will do this as:

\[Area = Side^2 \implies 36 = Side^2\]

\[Side^2 = 36 \implies Side = \sqrt{36} \implies Side = \pm 6\]

Now we get two values of sides...

But, a length cannot be negative like -5cm is not possible..

So, \(Side = 6\) will be the answer..